Effects of brane-flux transition on black holes in string theory

Extremal N = 2 black holes in four dimensions can be described by an ensemble of D3-branes wrapped on internal supersymmetric three-cycles of Calabi-Yau threefolds on which type IIB superstring theory is compactified. We construct a similar configuration, with extra RR and NS-NS three-form fluxes being turned on. We can avoid the PreedWitten anomaly on the D3-branes by enforcing the pullback of these extra fluxes to the D3-branes to vanish at the classical level. In the setup the D3-brane charge is not conserved since it is classified as a trivial class in twisted K-theory. Consequently, the D3-branes may disappear by encountering an instantonic D5-brane localized in time. We discuss what happens on the black hole described by such disappearing D3-branes, relying mainly on topological arguments. Especially, we argue that another RR three-form flux will be left as a lump of remnant which is localized in the uncompactified four-dimensional space-time and that it may carry the same amount of degrees of freedom to describe a black hole, in cooperation with the original NS-NS flux, after this transition of the D3-branes.Oscar Loaiza-Brito, Kin-ya Oda. Effects of brane-flux transition on black holes in string theory. https://arxiv.org/abs/hep-th/0703033.This is a pre-print of an article published in Journal of High Energy Physics. The final authenticated version is available online at: https://doi.org/10.1088/1126-6708/2007/08/002